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a ,b ,a n dc are all different and non-z...

`a ,b ,a n dc` are all different and non-zero real numbers on arithmetic progression. If the roots of quadratic equation `a x^2+b x+c=0a r ealphaa n dbeta` such that `1/alpha+1/beta,alpha+beta,a n dalpha^2+beta^2` are in geometric progression the value of a/c will be_____.

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